Normal stresses in concentrated non-Brownian suspensions

Journal of Fluid Mechanics

Volumn 715, Issue , 2013, Pages 239-272

  Dbouk, T ^a   Lobry, L ^a   Lemaire, E ^a  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

Author keywords

non Newtonian flows; rheology; suspensions

Indexed keywords

NON NEWTONIAN FLOW; PORE PRESSURE; RHEOLOGY; VOLUME FRACTION;

EXPERIMENTAL APPROACHES; NORMAL STRESS DIFFERENCE; NUMERICAL DATA; PARTICLE PHASE; PARTICLE STRESS; PARTICLE VOLUME FRACTIONS; RADIAL PROFILES; VELOCITY GRADIENTS;

SUSPENSIONS (FLUIDS);

FLUID FLOW; FLUID MECHANICS; PORE PRESSURE; RHEOLOGY; STRESS;

EID: 84872194247     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2012.516     Document Type: Article

References (42)

1. ACRIVOS, A., MAURI, R. & FAN, X. 1993 Shear-induced resuspension in a Couette device. Intl J. Multiphase Flow 19, 797.
2. BIRD, R. B., ARMSTRONG, R. C. & HASSAGER, O. 1977 Dynamics of polymeric liquids. In Fluid Mechanics, vol. 1. John Wiley & sons.
3. BLANC, F. 2011 Rh'eologie et microstructure des suspensions concentres non-Browniennes. PhD thesis, Universit'e de Nice.\
4. BLANC, F., PETERS, F. & LEMAIRE, E. 2011 Local transient rheological behaviour of concentrated suspensions. J. Rheol. 55, 835.
5. BLANC, F., PETERS, F. & LEMAIRE, E. 2011 Experimental signature of the pair trajectories of rough spheres in the shear-induced microstructure in noncolloidal suspensions. Phys. Rev. Lett. 107, 208302.
6. BOYER, F., POULIQUEN, O. & GUAZZELLI, E. 2011 Dense suspensions in rotating-rod flows: normal stresses and particle migration. J. Fluid Mech. 686, 5.
7. BOYER, F., GUAZZELLI, E. & POULIQUEN, O. 2011 Unifying suspension and granular rheology. Phys. Rev. Lett. 107, 188301.
8. BRADY, J. F. & MORRIS, J. F. 1997 Microstructure of strongly sheared suspensions and its impact on rheology and diffusion. J. Fluid Mech. 348, 103.
9. BRICKER, J. M. & BUTLER, J. E. 2006 Oscillatory shear of suspensions of noncolloidal particles. J. Rheol. 50, 711.
10. CHAPMAN, B. 1990 Shear-induced migration phenomena in concentrated suspensions. PhD thesis University of Notre Dame.
11. CHOW, A. W., IWAYIMA, J. H., SINTON, S. W. & LEIGHTON, D. T. 1995 Particle migration of non-Brownian, concentrated suspensions in a truncated cone-and-plate. Society of Rheology Meeting, Sacramento, CA.
12. CHOW, A. W., SINTON, S. W., IWAMIYA, J. H. & STEPHENS, T. S. 1994 Shear-induced migration in Couette and parallel-plate viscometers: NMR imaging and stress measurements. Phys. Fluids 6, 2561.
13. COUTURIER, E., BOYER, F., POULIQUEN, O. & GUAZZELLI, E. 2011 Suspensions in a tilted trough: second normal stress difference. J. Fluid Mech. 686, 26.
14. DEBOEUF, A. 2008 Interactions hydrodynamiques dans les suspensions macroscopiques. PhD thesis Universit'e Pierre & Marie Curie.
15. DEBOEUF, A., GAUTHIER, G., MARTIN, J., YURKOVETSKY, Y. & MORRIS, J. F. 2009 Particle pressure in a sheared suspension: a Bbridge from osmosis to granular dilatancy. Phys. Rev. Lett. 102, 108301.
16. GADALA-MARIA, F. 1979 The rheology of concentrated suspensions. PhD thesis, Stanford University.
17. GADALA-MARIA, F. & ACRIVOS, A. 1980 Shear-induced structure in a concentrated suspension of solid spheres. J. Rheol. 24, 799.
18. GUYON, E., HULIN, J. P. & PETIT, L. 2001 Hydrodynamique Physique. Savoirs Actuels, EDP Sciences/CNRS editions.
19. JANA, S. C, KAPOOR, B. & ACRIVOS, A. 1995 Apparent wall slip velocity coefficients in concentrated suspensions of non colloidal particles. J. Rheol. 39, 1123.
20. KEENTOK, M. V. & XUE, S. C. 1999 Edge fracture in cone-plate and parallel plate flows. Rheol. Acta 38, 321.
21. KIM, J. M., LEE, S. G. & KIM, D. C. 2008 Numerical simulations of particle migration in suspension flows: frame-invariant formulation of curvature-induced migration. J. Non-Newtonian Fluid Mech. 150, 162.
22. LHUILLIER, D. 2009 Migration of rigid particles in non-Brownian viscous suspensions. Phys. Fluids 21, 023302.
23. MCCOY, D. H. & DENN, M. M. 1971 Secondary flow in a parallel plate rheometer. Rheol. Acta 10 408.
24. MERHI, D., LEMAIRE, E., BOSSIS, G. & MOUKALLED, F. 2005 Particle migration in a concentrated suspension flowing between rotating parallel plates: investigation of diffusion flux coefficients. J. Rheol. 49, 1429.
25. MILLS, P. & SNABRE, P. 1995 Rheology and structure of concentrated suspensions of hard spheres. Shear induced particle migration. J. Phys. II France 5, 1597.
26. MILLS, P. & SNABRE, P. 2009 Apparent viscosity and particle pressure of a concentrated suspension of non-Brownian hard spheres near the jamming transition. Eur. Phys. J. E 30, 309.
27. MORRIS, J. F. & BOULAY, F. 1999 Curvilinear flows of noncolloidal suspensions: the role of normal stresses. J. Rheol. 43 (5), 1213.
28. NOTT, P. R. & BRADY, J. F. 1994 Pressure-driven flow of suspensions: simulation and theory. J. Fluid Mech. 275, 157.
29. NOTT, P. R., GUAZZELLI, E. & POULIQUEN, O. 2011 The suspension balance model revisited. Phys. Fluids 23, 043304.
30. OVARLEZ, G., BERTRAND, F. & RODTS, S. 2006 Local determination of the constitutive law of a dense suspension of noncolloidal particles through magnetic resonance imaging. J. Rheol. 50 259.
31. PARSI, F. & GADALA-MARIA, F. 1987 Fore-and-aft asymmetry in a concentrated suspension of solid spheres. J. Rheol. 31, 725.
32. PHILLIPS, R. J., ARMSTRONG, R. C., BROWN, R. A., GRAHAM, A. & ABBOTT, J. R. 1992 A constitutive model for concentrated suspensions that accounts for shear-induced particle migration. Phys. Fluids A 4, 30.
33. PHUNG, T. N., BRADY, J. F. & BOSSIS, G. 1996 Stokesian dynamics simulations of Brownian suspensions. J. Fluid Mech. 313, 181.
34. PRASAD, D. & KYTOMAA, H. 1995 Particle stress and viscous compaction during shear of dense suspensions. Intl J. Multiphase Flow 21 (5), 775.
35. RAMACHANDRAN, A. & LEIGTON, D. T. 2010 Particle migration in concentrated suspensions undergoing squeeze flow. J. Rheol. 54, 563.
36. RICHARDSON, J. F. & ZAKI, W. N. 1954 Sedimentation and fluidization. Part I. Trans. Inst. Chem. Engng 32, 35.
37. SIERROU, A. & BRADY, J. F. 2002 Rheology and microstructure in concentrated noncolloidal suspensions. J. Rheol. 46, 1031.
38. SINGH, A. & NOTT, P. R. 2003 Experimental measurements of the normal stresses in sheared Stokesian suspensions. J. Fluid Mech. 490, 293.
39. STICKEL, J. J. & POWELL, R. L. 2005 Fluid mechanics and rheology of dense suspensions. Annu. Rev. Fluid Mech. 37, 129.
40. TANNER, R. I. & PIPKIN, A. C. 1969 Intrinsic errors in pressure-hole measurements. Trans. Soc. Rheol. 13, 471.
41. YEO, K. & MAXEY, M. R. 2010 Dynamics of concentrated suspensions of non-colloidal particles in Couette flow. J. Fluid Mech. 649, 205.
42. ZARRAGA, I. E., HILL, D. A. & LEIGHTON, D. T. 2000 The characterization of the total stress of concentrated suspensions of noncolloidal spheres in Newtonian fluids. J. Rheol. 44, 185.